8.3 Solving Right Triangles

Examples:

1) Use the trigonometric ratio to determine which angle of the triangle is A.

Examples:

2) Use the given trigonometric ratio to determine which angle of the triangle is A.

Examples:

3) Use the given trigonometric ratio to determine which angle of the triangle is A.

tan A = 1.875

Solving Right Triangles:

If you know the sine, cosine, or tangent of an acute angle measure, you can use the inverse trigonometric functions to find the measure of the angle.

Examples:

4) Use your calculator to find each angle measure to the nearest degree.a) cos-1(0.87)b) sin-1(0.85)c) tan-1(0.71)d) tan-1(0.75)e) cos-1(0.05)f) sin-1(0.67)

Solving Right Triangles:

Solving a triangle: finding all unknown side lengths and angle measures.

Examples

5) Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

Examples

6) Find the unknown measures. Round lengths to the nearest hundredth and angle measures to the nearest degree.

Examples:

7) The coordinates of the vertices of ∆PQR are P(–3, 3), Q(2, 3), and R(–3, –4). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.